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math.AP2026
A Lagrangian superposition principle for the continuity equation with reaction
Stefano Almi, Giacomo Enrico Sodini
We study the continuity equation with reaction on , driven by Borel velocity and reaction fields and . We…
math.FA2026
Approximation in Metric Sobolev Spaces: A General Framework
Massimo Fornasier, Giacomo Enrico Sodini
In our recent work [FHS25], we introduced a numerical framework for approximating Sobolev functions on Wasserstein spaces from finite samples, leveraging structural properties esta…
math.MG2026
The Brezis-Ekeland-Nayroles principle in metric spaces: time-continuous setting
Pierre-Cyril Aubin-Frankowski, Giacomo Enrico Sodini, Ulisse Stefanelli
Based on a variational characterization of the local slope of a functional, we extend the celebrated Brezis-Ekeland-Nayroles null-minimization principle to curves of maximal slope…